23284320 has 96 divisors (see below), whose sum is σ = 74027520. Its totient is φ = 6151680.

The previous prime is 23284301. The next prime is 23284337. The reversal of 23284320 is 2348232.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85785 + ... + 86055.

It is an arithmetic number, because the mean of its divisors is an integer number (771120).

Almost surely, 2^23284320 is an apocalyptic number.

23284320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23284320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37013760).

23284320 is an abundant number, since it is smaller than the sum of its proper divisors (50743200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23284320 is a wasteful number, since it uses less digits than its factorization.

23284320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 23284320 is about 4825.3828863625. The cubic root of 23284320 is about 285.5537402812.

The spelling of 23284320 in words is "twenty-three million, two hundred eighty-four thousand, three hundred twenty".